Search a number
-
+
1040022432 = 25323611189
BaseRepresentation
bin111101111111010…
…111101110100000
32200110222121120100
4331333113232200
54112221204212
6251111142400
734526021241
oct7577275640
92613877510
101040022432
1149407a279
12250374a00
13137610cb7
149c1a8cc8
1561489bdc
hex3dfd7ba0

1040022432 has 36 divisors (see below), whose sum is σ = 2957564610. Its totient is φ = 346674048.

The previous prime is 1040022427. The next prime is 1040022433. The reversal of 1040022432 is 2342200401.

1040022432 is a `hidden beast` number, since 10 + 400 + 224 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 597509136 + 442513296 = 24444^2 + 21036^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1040022433) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1805307 + ... + 1805882.

Almost surely, 21040022432 is an apocalyptic number.

1040022432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1040022432 is an abundant number, since it is smaller than the sum of its proper divisors (1917542178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1040022432 is a wasteful number, since it uses less digits than its factorization.

1040022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611205 (or 3611194 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1040022432 is about 32249.3787847146. The cubic root of 1040022432 is about 1013.1666881241.

Adding to 1040022432 its reverse (2342200401), we get a palindrome (3382222833).

The spelling of 1040022432 in words is "one billion, forty million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3611189 7222378 10833567 14444756 21667134 28889512 32500701 43334268 57779024 65001402 86668536 115558048 130002804 173337072 260005608 346674144 520011216 1040022432